Masses and Mixings in a Grand Unified Toy Model

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dc.creatorMcKeen, David
dc.creatorRosner, Jonathan L.
dc.creatorThalapillil, Arun M.
dc.date2007-03-16
dc.date2007-04-20
dc.date.accessioned2026-07-07T11:02:52Z
dc.date.available2026-07-07T11:02:52Z
dc.descriptionThe generation of the fermion mass hierarchy in the standard model of particle physics is a long-standing puzzle. The recent discoveries from neutrino physics suggests that the mixing in the lepton sector is large compared to the quark mixings. To understand this asymmetry between the quark and lepton mixings is an important aim for particle physics. In this regard, two promising approaches from the theoretical side are grand unified theories and family symmetries. In this note we try to understand certain general features of grand unified theories with Abelian family symmetries by taking the simplest SU(5) grand unified theory as a prototype. We construct an SU(5) toy model with $U(1)_F \otimes Z'_2\otimes Z''_2 \otimes Z'''_2$ family symmetry that, in a natural way, duplicates the observed mass hierarchy and mixing matrices to lowest approximation. The system for generating the mass hierarchy is through a Froggatt-Nielsen type mechanism. One idea that we use in the model is that the quark and charged lepton sectors are hierarchical with small mixing angles while the light neutrino sector is democratic with larger mixing angles. We also discuss some of the difficulties in incorporating finer details into the model without making further assumptions or adding a large scalar sector.
dc.description21 pages, 2 figures, RevTeX, v2: references updated and typos corrected, v3: updated top quark mass, comments on MiniBooNE result, and typos corrected
dc.identifierhttps://arxiv.org/abs/hep-ph/0703177
dc.identifierhttp://arxiv.org/abs/hep-ph/0703177
dc.identifierPhys.Rev.D76:073014,2007
dc.identifierdoi:10.1103/PhysRevD.76.073014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188398
dc.subjectHigh Energy Physics - Phenomenology
dc.titleMasses and Mixings in a Grand Unified Toy Model
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